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Finding the Fourth Proportional to 84,164.16, 126,125.92 and 61,802.08

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Solution

The fourth proportional to 84,164.16, 126,125.92 and 61,802.08 is: 92,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,164.16 : 126,125.92 = 61,802.08 : x
  2. Step 2: Convert to fraction form
    84,164.16/126,125.92 = 61,802.08/x
  3. Step 3: Cross multiply
    84,164.16x = 126,125.92 × 61,802.08
  4. Step 4: Simplify right side
    84,164.16x = 7,794,844,197.91
  5. Step 5: Solve for x
    x = 7,794,844,197.91/84,164.16
  6. Step 6: Final answer
    x = 92,614.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.